How do you simplify $sqrt16 + 3sqrt 8$ ?

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Answer 1 · 2016-02-04T08:09:14

$sqrt 16+3sqrt 8=color(blue)(4+6sqrt 2)$

$sqrt 16+3sqrt 8$

Simplify $sqrt 16$ to $4$ .

$4+3sqrt 8$

Simplify $3sqrt8$ .

$3sqrt(2xx2xx2)=3sqrt(2^2xx2)$

Apply square root rule $sqrt(a^2)=a$ .

$3xx2sqrt2=6sqrt2$

Add $4$ back in.

$4+6sqrt 2$

How do you simplify sqrt16 + 3sqrt 8sqrt16 + 3sqrt 8?